Course Material for Elementary Number Theory, 110.304, Spring 2017

Professor: W Stephen Wilson, Krieger 421,

Textbook: Number Theory, George E. Andrews.
ISBN-13: 978-0-486-68252-5
ISBN-10: 0-486-68252-8

Class meets Tuesday and Thursday 9-10:15, in Gillman 55.


Linear Algebra is a pre-requisite for this course.

However, the engineering Linear Algebra/Differential Equation course should do.

A number of students were advised to take this course instead of Honors Linear Algebra because there was some issue that bothered people. That problem has been fixed. If you have not had one of the linear algebra courses, then you are not allowed to take this number theory course.

Office hours are Tuesday, 11:45-12:45. However, the way they work is I'll be there for the first 15 minutes, and if no one comes, I'll feel free to leave unless someone has emailed me and told me they are coming but won't be there in the first 15 minutes.

In addition, you should all know about the math department help room that is open nearly all day and most evenings during the week. It is in Krieger 213.

Your TA is Xiaoqi Huang, who staffs the help room 3-5 on Tuesdays. He also has office hours 3-4 on Wednesday.

Students in this course are assumed to be serious math majors and will be treated as such.


You can work with others on the homework, but you should do your own writeup. Only 3 problems will be graded, but you don't know which 3.

How the course works.


Ignoring the first Tuesday where nothing much gets done, Tuesdays are the day you hand in your homework. You also get to take a test at the start of class. It will probably consist of 2 problems, one that was on the homework, and one that is from the book (or somewhere else if I can't find anything suitable), but not assigned as homework. The rest of Tuesday you will be assigned to groups to work on problems from the book.


On Thursday, we start with a quiz to see if you have read the required material. Then I'll probably give a sort of overview lecture on the material. Depending on how things go, we might well do group work Thursday as well.


The reading assignments are posted below. You will be quizzed on the reading on Thursday. Thursday, I will post the homework, due on that reading the next Tuesday. The test that Tuesday will be on that material, as will the in-class group work.


Grades will be figured in 2 ways.

First. 25% homework, 25% Thursday quizzes, 25% Tuesday tests, 25% Tuesday in-class group work.

Second. At the end of the semester I will run grades again after deleting the first 3 weeks. This lets me not penalize someone who got a slow start learning to prove things.

Reading Assignments

Quiz 1. Feb 2. Chapter 1, Sections 1 and 2. Chapter 2, Section 1.

Problem Set Number 1. Due Feb 7.

Quiz 2. Feb 9. Chapter 2, Sections 2 and 3.

Problem Set Number 2. Due Feb 14.

Quiz 3. Feb 16. Chapter 2, Section 4. Chapter 3, Sections 1 and 2.

Problem Set Number 3. Due Feb 21.

Quiz 4. Feb 23. Chapter 3, Sections 3 and 4. Chapter 4, Sections 1 and 2.

Problem Set Number 4. Due Feb 28.

Quiz 5. Mar 2. Chapter 4, Section 3. Chapter 5, Sections 1 and 2.

Problem Set Number 5. Due Mar 7.

Quiz 6. Mar 9. Chapter 5, Sections 3 and 4.

Problem Set Number 6. Due Mar 14.

Quiz 7. Mar 16. Chapter 6, Sections 1, 2, and 3.

Problem Set Number 7. Due Mar 28.

Quiz 8. Mar 30. Chapter 6, Section 4. Chapter 7, Sections 1 and 2.

Problem Set Number 8. Due Apr 4.

Quiz 9. Apr 6. Chapter 8, Sections 1 and 2.

Problem Set Number 9. Due Apr 11.

Quiz 10. Apr 13. Chapter 8, Section 3. Chapter 9, Sections 1 and 2.

Problem Set Number 10. Due Apr 18.

Quiz 11. Apr 20. Chapter 9, Sections 3 and 4. Chapter 10, Section 1.

Problem Set Number 11. Due Apr 25.

Quiz 12. Apr 27. Chapter 10, Section 2. Chapter 11, Section 1.

Problem Set Number 12. Due May 2.

Quiz 13. May 4. Chapter 11, Section 2. Chapter 12, Sections 1, 2, and 3.